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TI-83

TI-83 Plus TI-84 (or TI-84 Plus)

©2005 Dr. Scott McDaniel

smcdanie@mtsu.edu

Middle Tennessee State University

Preface

Why did I do these tutorials? Money? Fame? Fortune? Of course, the real reason for writing these tutorials is to be number 1 on when someone types in "TI-83 Help." The following tutorials are yours for the taking. All I ask is that when (not if) you find any errors or omissi ons, you send me an email ( smcdanie@mtsu.edu). You may be wondering why I did not publish these as HTML files. The font that is used to create the calculator-like keys is not available on you machine. So, "i" would look like an "i" when rendered on your computer. If you would like me to write tutorials on any topic, let me know. I mi ght actually get to them. Just send me an email and let me know what you th ink and how I can improve the lessons. I am also feverishly working on video tutorials for those who prefer to kick back with popcorn and coke while learning the TI-83/TI84.

Scott McDaniel

Table of Contents

I.

Basics

a.

Expressing answers as fractions (Frac)

b.

Scientific Notation

II.

Tables

a.

Using the "ask" feature

b.

Auto table

III.

Graphing Basics

a.

Graphing Linear Functions

b.

Graphing Quadratic Functions

c.

Graphing Cubic Functions

d.

Evaluating functions graphically

e.

Graphing Exponential Functions

f.

Graphing Inequalities

IV.

Windows and Zooming

a.

Setting Standard Viewing window

b.

Setting the window manually

c.

Using ZBox

V.

Graphing Advanced

a.

How to locate a point of intersection

b.

Finding Zeros

c.

Finding Minimums and Maximums

d.

Shading Systems of inequalities

e. Graphing Piece-wise defined functions VI.

Statistics and Probability

a.

Scatterplot

b.

Linear Regression

c.

Non-linear Regression

d.

Factorials

e.

Combinations

f.

Permutations

VII.

Matices

a.

Reduced Row Echelon form (rref)

b.

Matrix Arithmetic

c.

Inverse Matrix

d.

Solving a linear system with an inverse matrix

e.

Determinants

VIII.

Finance

a.

TVM solver

Expressing answers as fractions

Evaluate

12 8 25 30

Step 1.

Press 1 2 5 c

3 0.

Step 2.

To express the answer as a

fraction, press

L and select "Frac"

by pressing [ or 1.

Step 3.

Press [ again to evaluate.

The answer is

16 75
Note:

The TI-84 cannot display the

fraction if the denominator has more than 3 digits. Note:

If you press [ before

converting to a fraction, you will get a decimal representation of the answer.

To convert this decimal to a fraction

press L [ [. Entering/Displaying numbers in Scientific Notation In order to type in scientific notation, you will be using the $ key by pressing

F ,. The $ key means

10. So in calculator notation

4.2

E5 is equivalent to .

5

4.25 10

Note: When you press $ only one "E" will appear on the screen.

Example 1. Evaluate

45

3.8 10 2.1 10.

Step 1.

Press ( 3 . 8 F

, 4 ) ( 2 . 1 F , 5 ).

Step 2.

Press [ and the answer

7,980,000,000 appears on the screen.

If you need the answer in scientific

notation it is 7.98 x 10 9.

NOTE: If you want the calculator to

give the answer in scientific notation, press

G g [ P. You are back

on the home screen and want to get the answer from the problem, but you do not want to do the problem again, so just press F : to get the last answer.

Now if you press

[ the answer will be expressed in scientific notation.

Example

2. You may want the calculator to display all answers in

scientific notation. To do this, follow the steps below.

Step 1.

Press G.

Step 2.

Change the top line from

"Normal" to "Sci" by pressing g [

Step 3.

Press P. Now all answers

will be displayed in scientific notation. Assuming you did example 2 and converted your calculator's mode to

Scientific Notation, now do example 3.

Example 3. Evaluate 3002.

Step 1.

Press

3 0 0 b 2

Step 2.

Press [ and the answer is

displayed as 6

E2, which is interpreted

as , in scientific notation, or just 600. 2 610

NOTE: Unless you want all your

answers to be expressed in scientific notation, you should change the mode back to "NORMAL" by pressing G

Making a table (AUTO)

Example. Create a table of values (or ordered pairs) from x = -2 to x = 5 for the equation . 2yx4

Step 1.

Press E .

Note:

If there are items in the Y

n 's on your calculator, clear them by positioning your cursor immediately to the right of the "=" then press P.

Step 2.

Put the equation into "Y1=" by

pressing c 4.

Step 3

. Go to "TBLSET" by pressing F A . Change "TblStart" to -2 by pressing : 2 . This is the starting value since the x-values are to go from -2 to 5 Note: telling the calculator how much to count by. If you make " calculator will count or increment by 5.) Note: For this example "Indpnt" and "Depend" should each have "Auto" highlighted. This will force the calculator to automatically generate the values for x and y). If you wanted to put in your own values for x, change the "Indpnt" to "Ask" and leave "Auto" highlighted on "Depend".)

Step 5.

To create the table, press F

D. The table should be displayed.

On your calculator you may use the h

e arrow keys to scroll through the values as necessary.

Using the ASK table feature

The ASK feature allows you to input non-sequential values for the independent variable. Example. Given the equation yx41, create a table of ordered pairs whose x -coordinates are -3, 4, 8, and 13.

Step 1.

To graph the function press

E. Note:

Clear any equations in your "Y="

screen by positioning your cursor to the right of the "=" and pressing P.

Step 2.

With the cursor immediately to

the right of "Y

1=", press c 1.

Step 3

. Go to "TBLSET" by pressing F A .

Step 4. Change the "Indpnt" from "Auto"

to "Ask" by pressing e e g to "Ask" and press Note:

When the "Indpnt" is on "Ask," it

does not matter what values "TblStart" or "Auto."

Step 5.

To create the table, press F

D. A blank table is displayed.

Step 6.

Press :3[. Notice that

the y-value automatically appeared. The first ordered pair is (-3, -13). Press 4 [ 8 [ 1 3 [. Each time you enter an x -value, the corresponding y- value appears. Step 7. You may want to change "Indpnt" back to "Auto" by pressing F A e e [ before continuing.

Setting the Standard Viewing Window

The standard viewing window creates a window with the following values for the window variables: Example. Graph on the standard viewing window. 2yx

Step 1.

Press E.

Note:

If there are functions in the Y

n 's on your calculator, clear them by positioning your cursor immediately to the right of the "=" and pressing P.

Step 2.

With the cursor immediately to the

right of "Y 1 =", press J a 2.

Step 3.

To see the graph on a standard

viewing window, press B 6.

Setting the graph window (manually)

Example

: Graph the equation 33yx6. Find the viewing that shows both the x and y-intercepts.

Step 1.

Press E

Note:

Clear any equations in your "Y=" screen

by positioning your cursor to the right of the "=" and pressing P. .

Step 2.

Press c 3 6

Step 3

. Press B 6.

Notice that only a small portion of the graph is

displayed. In order to get a better picture of the graph, you will need to make some manual adjustments to the window.

Step 4

. Press

A. We need to

make some adjustments. We need to find the x and y-intercepts. Note: Find the x-intercept by substituting a 0 for y and solve for x. 02 36 23
18x x so x 6,

Step 5.

Note that the "Xmin" is -10 and the

"Xmax" is 10. This particular range does not include the x-intercept for our equation.

Change "Xmax" to 20 by pressing e 2 0.

Step 6.

Notice from the equation that the y-

intercept is -36. Currently the range for the y- axis is from -10 to 10. This range does not include -36. If we change "Ymin" to -40, our range will include the y-intercept of -36. Press e e : 4 0.

Step 7.

Press D. Note:

Notice that both the x and y-intercepts

can be seen.

Step 8.

Notice that the x and especially the y-

axis appears a bit crowded with tic marks. To change this, press A.

Step 9.

Scroll down to "Xscl" and change this

to a 5. Also scroll down to "Yscl" and change this to 5. This means that every 5 units there will be a tic mark.

Step 10.

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